Optimal L p –L q convergence rates for the compressible Navier–Stokes equations with potential force

Stability and optimal convergence of unfitted extended finite element methods with Lagrange multipliers for the Stokes equations.. UCL workshop :Geometrically Unifitted Finite

Remark also that ℓ − 0 is by no means unique, as several profiles may have the same horizontal scale as well as the same vertical scale (in which case the concentration cores must

Okita: Optimal decay rate for strong solutions in critical spaces to the compressible Navier- Stokes equations, Journal of Differential Equations, 257, 3850–3867 (2014).

Adapting at the discrete level the arguments of the recent theory of compressible Navier-Stokes equations [17, 6, 20], we prove the existence of a solution to the discrete

We prove in particular that the classical Nesterov scheme may provide convergence rates that are worse than the classical gradient descent scheme on sharp functions: for instance,

In this way, it will be possible to show that the L 2 risk for the pointwise estimation of the invariant measure achieves the superoptimal rate T 1 , using our kernel

Mimicking the previous proof of uniqueness (given in Sec. 2.2) at the discrete level it is possible to obtain error esti- mates, that is an estimate between a strong solution (we

An essential feature of the studied scheme is that the (discrete) kinetic energy remains controlled. We show the compactness of approximate sequences of solutions thanks to a